2756913650400 has 1728 divisors, whose sum is σ = 12119584296960. Its totient is φ = 529426022400.

The previous prime is 2756913650389. The next prime is 2756913650419. The reversal of 2756913650400 is 40563196572.

2756913650400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2756913650400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1956644896 + ... + 1956646304.

It is an arithmetic number, because the mean of its divisors is an integer number (7013648320).

Almost surely, 2^{2756913650400} is an apocalyptic number.

2756913650400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2756913650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059792148480).

2756913650400 is an abundant number, since it is smaller than the sum of its proper divisors (9362670646560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2756913650400 is a wasteful number, since it uses less digits than its factorization.

2756913650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 2756913650400 in words is "two trillion, seven hundred fifty-six billion, nine hundred thirteen million, six hundred fifty thousand, four hundred".